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Rudik [331]
2 years ago
13

Is it possible to form a triangle with side lengths 5, 3, and 5 units?

Mathematics
2 answers:
7nadin3 [17]2 years ago
8 0

Answer:

Yes

Step-by-step explanation:

Isosceles triangle with base of 3 units and sides of 5 units

Artist 52 [7]2 years ago
5 0

Answer:

yes

Step-by-step explanation:

use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle

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The sum of two numbers is 25. One number
Grace [21]

Answer: 9 & 7

Step-by-step explanation: 9(2)=18 18+7=25

6 0
3 years ago
Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.
Simora [160]

Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.

I think in these problems the first step is to express each side as a vector.  A vector is the difference between points.  When two sides have the same vector (or negatives) it means they're parallel and congruent.  So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL.  That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.

Let's calculate these vectors:

IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)

LK = K - L = (7, 6) - (3, 3) = (4, 3)

IJ = LK, so far so good

(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)

JK = K - J = (7,6) - (2,6) = (5,0)

IL = L - I = (3, 3) - (-2, 3)  = (5, 0)

Those are the same too.    

Now we have to show IJ ≅ JK

The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK

We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.

8 0
3 years ago
Find last year’s salary if, after a 3% pay raise, this year’s salary is $32,960.
belka [17]

Answer:

$32000

Step-by-step explanation:

Let last years salary was $x

Therefore,

x + 3% of x = $32960

x + 0.03x = $32960

1.03x=$32960

x = 32960/1.03

x = $32,000

So, last year's salary was $32000.

3 0
3 years ago
Solve the equation for all values of x by completing the square. Irrational <br> x^2+15=-10x
attashe74 [19]

Answer:

x=-1.8, x=-8.2

Step-by-step explanation:

7 0
2 years ago
O the photo slash picture
Evgesh-ka [11]

Answer:

The shortest walking route is through the diagonal AC: 102.89m

Step-by-step explanation:

One can go from A to C using 2 paths:

- ADC or ABC

- using diagonal AC and half of that inner circle.

We need to compute the length of each path.

1) ADC=AD+DC=80+50=130m

2) AC²=AD²+DC²=80²+50⁵=6400+2500= 8900m²

AC=sqrt(8900)=94.34m.

Note that the diagonal AC has a missing segment, whose length is the diameter of the inner circle. So the straight line has a length of: AC-d=94.34-15=79.34m.

Perimeter of half the circle=pi×r= 3.14×(15/2)= 3.14×7.5=23.55m

So, if one is using the diagonal to go from A to C, then he has to walk:

79.34+23.55=102.89m

Comparing the two routes: 130m vs 102.89m, we notice that the route using the diagonal AC is shorter.

8 0
2 years ago
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